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Finding the Fourth Proportional to 640.95, 962.49 and 418.95

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Solution

The fourth proportional to 640.95, 962.49 and 418.95 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.95 : 962.49 = 418.95 : x
  2. Step 2: Convert to fraction form
    640.95/962.49 = 418.95/x
  3. Step 3: Cross multiply
    640.95x = 962.49 × 418.95
  4. Step 4: Simplify right side
    640.95x = 403,235.19
  5. Step 5: Solve for x
    x = 403,235.19/640.95
  6. Step 6: Final answer
    x = 629.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.